On Bernstein type polynomials and their applications

被引：0

作者：

Yilmaz Simsek

Melih Gunay

机构：

[1] Akdeniz University,Department of Mathematics

[2] Akdeniz University,Department of Computer Engineering

来源：

Advances in Difference Equations | / 2015卷

关键词：

Bernstein polynomials; CAD; graphs; Bézier curves; generating functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this study we examine generating functions for the Bernstein type polynomials given in (Simsek in Fixed Point Theory Appl. 2013:80, 2013). We expand these generating functions using the parameters u and v. By applying these generating functions, we obtain some functional equations and partial differential equations. In addition, using these equations, we derive several identities and relations related to these polynomials. Finally, numerical values of these polynomials for selected cases are demonstrated with their plots.

引用

共 9 条

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[2]

Goodman TNT(2014)Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for these polynomials Hacet. J. Math. Stat. 43 1-14

[3]

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[4]

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[5]

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[6]

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[7]

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[8]

Simsek Y(undefined)Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions undefined undefined undefined-undefined

[9]

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